POST UTME RHEMA UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A beam of light passes from air into a block of glass with a re\fractive index of 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 2
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the resulting Radium-226 nucleus?
A. 234 u
B. 238 u
C. 242 u
D. 246 u
Question 3
A particle moves in a circular path with a radius of 2 m and a frequency of 5 Hz. What is the angular velocity?
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 4
A beam of light is incident on a glass plate at an angle of 45°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.
A. 30°
B. 35°
C. 40°
D. 45°
Question 5
A light source is placed 2 m away from a convex lens with a focal length of 0.5 m. If the light source is moved 0.5 m closer to the lens, calculate the new image dis\tance.
A. 1 m
B. 1.5 m
C. 2 m
D. 2.5 m
Question 6
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.
A. \( \omega = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \)
B. \( \omega = \frac{1}{2\pi} \sqrt{\frac{m}{k}} \)
C. \( \omega = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \sqrt{1 - \frac{m}{k}} \)
D. \( \omega = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \sqrt{1 + \frac{m}{k}} \)
Question 7
A coil of wire has a resis\tance of 10 Ω and an induc\tance of 5 H. If a current of 2 A is flowing through the coil, what is the induced emf?
A. 10 V
B. 20 V
C. 30 V
D. 40 V
Question 8
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 9
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 10
A magnetic field of 5 T is applied to a coil of wire with 100 turns. The coil has a radius of 0.2 m and a resis\tance of 10 Ω. If the current in the coil is 2 A, find the induced emf in the coil.
A. \( \varepsilon = -N\frac{d\Phi}{dt} \)
B. \( \varepsilon = N\frac{d\Phi}{dt} \)
C. \( \varepsilon = -\frac{d\Phi}{dt} \)
D. \( \varepsilon = \frac{d\Phi}{dt} \)
Question 11
A beam of light is incident on a glass slab at an angle of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 12
A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?
A. 1.5 eV
B. 2.5 eV
C. 3.5 eV
D. 4.5 eV
Question 13
A ray of light is incident on a glass slab at an angle of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 14
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 15
A capacitor consists of two parallel plates, each with an area of 0.1 m^2 and separated by a dis\tance of 0.01 m. The plates are charged to a potential difference of 10 V. Find the capaci\tance of the capacitor.
A. \( C = \frac{A\varepsilon_0}{d} \)
B. \( C = \frac{Ad}{varepsilon_0} \)
C. \( C = \frac{A}{varepsilon_0d} \)
D. \( C = \frac{Ad}{varepsilon_0^2} \)

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